Advanced Vibration Analysis - 9780367389659

CRC Press

This presents a comprehensive theory by tying together the theory and analysis methods for vibrations of discrete systems and vibrations of continuous systems with a unified mathematical theory. It covers vibrations in single degree of freedom systems, calculus of variations, linear algebra, operators for vibration problems, free vibrations of conservative and non-conservative systems, forced response, and variational methods. It also includes recent applications such as vibrations of nanotubes. > Delineating a comprehensive theory, Advanced Vibration Analysis provides the bedrock for building a general mathematical framework for the analysis of a model of a physical system undergoing vibration. The book illustrates how the physics of a problem is used to develop a more specific framework for the analysis of that problem. The author elucidates a general theory applicable to both discrete and continuous systems and includes proofs of important results, especially proofs that are th""